메뉴 건너뛰기




Volumn 368, Issue 1930, 2010, Pages 5087-5104

A phase-reduced neuro-mechanical model for insect locomotion: Feed-forward stability and proprioceptive feedback

Author keywords

Central pattern generator; Hill muscle model; Motoneuron; Phase reduction; Phaseresponse curve; Proprioceptive feedback

Indexed keywords

BIOMECHANICS; DYNAMICAL SYSTEMS; DYNAMICS; LOCOMOTIVES; NEURONS; ORDINARY DIFFERENTIAL EQUATIONS; RAILROAD CARS;

EID: 78649338530     PISSN: 1364503X     EISSN: None     Source Type: Journal    
DOI: 10.1098/rsta.2010.0134     Document Type: Article
Times cited : (31)

References (42)
  • 1
    • 0024909217 scopus 로고
    • The spring - mass model for running and hopping
    • doi:10.1016/0021-9290(89)90224-8
    • Blickhan, R. 1989 The spring - mass model for running and hopping. J. Biomech. 11/12, 1217-1227. (doi:10.1016/0021-9290(89)90224-8)
    • (1989) J. Biomech. , vol.11 , Issue.12 , pp. 1217-1227
    • Blickhan, R.1
  • 2
    • 63849264275 scopus 로고    scopus 로고
    • Sensory feedback induced by front-leg stepping entrains the activity of central pattern generators in caudal segments of the stick insect walking system
    • doi:10.1523/JNEUROSCI.3155-08.2009
    • Borgmann, A., Hooper, S. & Büschges, A. 2009 Sensory feedback induced by front-leg stepping entrains the activity of central pattern generators in caudal segments of the stick insect walking system. J. Neurosci. 29, 2972-2983. (doi:10.1523/JNEUROSCI.3155-08.2009)
    • (2009) J. Neurosci. , vol.29 , pp. 2972-2983
    • Borgmann, A.1    Hooper, S.2    Büschges, A.3
  • 3
    • 0013530826 scopus 로고
    • Preflexes - Programmable high-gain zero-delay intrinsic responses of perturbed musculoskeletal systems
    • 562.9
    • Brown, I., Scott, S. & Loeb, G. 1995 Preflexes - programmable high-gain zero-delay intrinsic responses of perturbed musculoskeletal systems. Soc. Neurosci. Abstr. 21, 562.9.
    • (1995) Soc. Neurosci. Abstr. , vol.21
    • Brown, I.1    Scott, S.2    Loeb, G.3
  • 4
    • 0042742827 scopus 로고    scopus 로고
    • Inhibitory synaptic drive patterns motoneuronal activity in rhythmic preparations of isolated thoracic ganglia in the stick insect
    • DOI 10.1016/S0006-8993(97)01370-X, PII S000689939701370X
    • Büschges, A. 1998 Inhibitory synaptic drive patterns motoneuronal activity in rhythmic preparations of isolated thoracic ganglia in the stick insect. Brain Res. 783, 262-271. (doi:10.1016/S0006-8993(97)01370-X) (Pubitemid 28131406)
    • (1998) Brain Research , vol.783 , Issue.2 , pp. 262-271
    • Buschges, A.1
  • 5
    • 18544394623 scopus 로고    scopus 로고
    • Synaptic drive contributing to rhythmic activation of motoneurons in the deafferented stick insect walking system
    • DOI 10.1111/j.1460-9568.2004.03312.x
    • Büschges, A., Ludwar, B., Bucher, D., Schmidt, J. & DiCaprio, R. 2004 Synaptic drive contributing to rhythmic activation of motoneurons in the deafferented stick insect walking system. Eur. J. Neurosci. 12, 1856-1862. (doi:10.1111/j.1460-9568.2004.03312.x) (Pubitemid 38482573)
    • (2004) European Journal of Neuroscience , vol.19 , Issue.7 , pp. 1856-1862
    • Buschges, A.1    Ludwar, B.Ch.2    Bucher, D.3    Schmidt, J.4    DiCaprio, R.A.5
  • 6
    • 36748999352 scopus 로고    scopus 로고
    • Organizing network action for locomotion: Insights from studying insect walking
    • DOI 10.1016/j.brainresrev.2007.06.028, PII S0165017307001300, Networks in Motion
    • Büschges, A., Akay, T., Gabriel, J. & Schmidt, J. 2008 Organizing network action for locomotion: insights from studying insect walking. Brain Res. Rev. 57, 162-171. (doi:10.1016/j.brainresrev.2007.06.028) (Pubitemid 350213094)
    • (2008) Brain Research Reviews , vol.57 , Issue.1 , pp. 162-171
    • Buschges, A.1    Akay, T.2    Gabriel, J.P.3    Schmidt, J.4
  • 7
    • 0025276266 scopus 로고
    • Mechanics of six-legged runners
    • Full, R. & Tu, M. 1990 Mechanics of six-legged runners. J. Exp. Biol. 148, 129-146.
    • (1990) J. Exp. Biol. , vol.148 , pp. 129-146
    • Full, R.1    Tu, M.2
  • 8
    • 0026035193 scopus 로고
    • Mechanics of a rapid running insect: Two-, four- and six-legged locomotion
    • Full, R. & Tu, M. 1991 Mechanics of a rapid running insect: two-, four- and six-legged locomotion. J. Exp. Biol. 156, 215-231.
    • (1991) J. Exp. Biol. , vol.156 , pp. 215-231
    • Full, R.1    Tu, M.2
  • 9
    • 0026195839 scopus 로고
    • Leg design in hexapedal runners
    • Full, R., Blickhan, R. & Ting, L. 1991 Leg design in hexapedal runners. J. Exp. Biol. 158, 369-390.
    • (1991) J. Exp. Biol. , vol.158 , pp. 369-390
    • Full, R.1    Blickhan, R.2    Ting, L.3
  • 10
    • 17744363863 scopus 로고    scopus 로고
    • Minimal models of bursting neurons: How multiple currents, conductances, and timescales affect bifurcation diagrams
    • DOI 10.1137/030602307
    • Ghigliazza, R. & Holmes, P. 2004a Minimal models of bursting neurons: how multiple currents, conductances and timescales affect bifurcation diagrams. SIAM J. Appl. Dyn. Syst. 3, 636-670. (doi:10.1137/030602307) (Pubitemid 40578320)
    • (2004) SIAM Journal on Applied Dynamical Systems , vol.3 , Issue.4 , pp. 636-670
    • Ghigliazza, R.M.1    Holmes, P.2
  • 11
    • 17744382781 scopus 로고    scopus 로고
    • A minimal model of a central pattern generator and motoneurons for insect locomotion
    • DOI 10.1137/040607563
    • Ghigliazza, R. & Holmes, P. 2004b A minimal model of a central pattern generator and motoneurons for insect locomotion. SIAM J. Appl. Dyn. Syst. 3, 671-700. (doi:10.1137/040607563) (Pubitemid 40578321)
    • (2004) SIAM Journal on Applied Dynamical Systems , vol.3 , Issue.4 , pp. 671-700
    • Ghigliazza, R.M.1    Holmes, P.2
  • 13
    • 85045417123 scopus 로고    scopus 로고
    • See also revised and updated version: 2005 SIGEST
    • (See also revised and updated version: 2005 SIGEST. SIAM Rev. 47, 517.)
    • SIAM Rev , vol.47 , pp. 517
  • 14
    • 0016314153 scopus 로고
    • Isochrons and phaseless sets
    • doi:10.1007/BF01273747
    • Guckenheimer, J. 1975 Isochrons and phaseless sets. J. Math. Biol. 1, 259-273. (doi:10.1007/BF01273747)
    • (1975) J. Math. Biol. , vol.1 , pp. 259-273
    • Guckenheimer, J.1
  • 16
    • 0017343901 scopus 로고
    • A myocybernetic control model of skeletal muscle
    • DOI 10.1007/BF00337268
    • Hatze, H. 1977 A myocybernetic control model of skeletal muscle. Biol. Cybern. 25, 103-119. (doi:10.1007/BF00337268) (Pubitemid 8016598)
    • (1977) Biological Cybernetics , vol.25 , Issue.2 , pp. 103-119
    • Hatze, H.1
  • 17
    • 0017904640 scopus 로고
    • A general mycocybernetic control model of skeletal muscle
    • Hatze, H. 1978 General myocybernetic control model of skeletal muscle. Biol. Cybern. 28, 143-157. (doi:10.1007/BF00337136) (Pubitemid 8271019)
    • (1978) Biological Cybernetics , vol.28 , Issue.3 , pp. 143-157
    • Hatze, H.1
  • 18
    • 0000682154 scopus 로고
    • The heat of shortening and the dynamic constants of muscle
    • doi:10.1098/rspb.1938.0050
    • Hill, A. 1938 The heat of shortening and the dynamic constants of muscle. Phil. Trans. R. Soc. Lond. B 126, 136-195. (doi:10.1098/rspb.1938.0050)
    • (1938) Phil. Trans. R. Soc. Lond. B , vol.126 , pp. 136-195
    • Hill, A.1
  • 19
    • 33744929666 scopus 로고    scopus 로고
    • The dynamics of legged locomotion: Models, analyses, and challenges
    • DOI 10.1137/S0036144504445133
    • Holmes, P., Full, R., Koditschek, D. & Guckenheimer, J. 2006 The dynamics of legged locomotion: models, analyses and challenges. SIAM Rev. 48, 207-304. (doi:10.1137/S0036144504445133) (Pubitemid 43842340)
    • (2006) SIAM Review , vol.48 , Issue.2 , pp. 207-304
    • Holmes, P.1    Full, R.J.2    Koditschek, D.3    Guckenheimer, J.4
  • 20
    • 0036748419 scopus 로고    scopus 로고
    • Dynamic stabilization of rapid hexapedal locomotion
    • Jindrich, D. & Full, R. 2002 Dynamic stabilization of rapid hexapedal locomotion. J. Exp. Biol. 205, 2803-2823.
    • (2002) J. Exp. Biol. , vol.205 , pp. 2803-2823
    • Jindrich, D.1    Full, R.2
  • 21
    • 0031194651 scopus 로고    scopus 로고
    • Three-dimensional kinematics and limb kinetic energy of running cockroaches
    • Kram, R., Wong, B. & Full, R. 1997 Three-dimensional kinematics and limb kinetic energy of running cockroaches. J. Exp. Biol. 200, 1919-1929.
    • (1997) J. Exp. Biol. , vol.200 , pp. 1919-1929
    • Kram, R.1    Wong, B.2    Full, R.3
  • 23
    • 40749098624 scopus 로고    scopus 로고
    • A hexapedal jointed-leg model for insect locomotion in the horizontal plane
    • DOI 10.1007/s00422-007-0180-2
    • Kukillaya, R. & Holmes, P. 2007 A hexapedal jointed-leg model for insect locomotion in the horizontal plane. Biol. Cybern. 97, 379-395. (doi:10.1007/s00422-007-0180-2) (Pubitemid 351389122)
    • (2007) Biological Cybernetics , vol.97 , Issue.5-6 , pp. 379-395
    • Kukillaya, R.P.1    Holmes, P.J.2
  • 24
    • 70349970697 scopus 로고    scopus 로고
    • A model for insect locomotion in the horizontal plane: Feedforward activation of fast muscles, stability, and robustness
    • doi:10.1016/j.jtbi.2009.07.036
    • Kukillaya, R. & Holmes, P. 2009 A model for insect locomotion in the horizontal plane: feedforward activation of fast muscles, stability, and robustness. J. Theor. Biol. 261, 210-226. (doi:10.1016/j.jtbi.2009.07.036)
    • (2009) J. Theor. Biol. , vol.261 , pp. 210-226
    • Kukillaya, R.1    Holmes, P.2
  • 25
    • 67651089873 scopus 로고    scopus 로고
    • Neuro-mechanical models for insect locomotion: Stability, maneuverability, and proprioceptive feedback
    • doi:10.1063/1.3141306
    • Kukillaya, R., Proctor, J. & Holmes, P. 2009 Neuro-mechanical models for insect locomotion: stability, maneuverability, and proprioceptive feedback. Chaos 19, 026107. (doi:10.1063/1.3141306)
    • (2009) Chaos , vol.19 , pp. 026107
    • Kukillaya, R.1    Proctor, J.2    Holmes, P.3
  • 28
    • 0001744369 scopus 로고
    • Central programming and reflex control of walking in the cockroach
    • Pearson K.
    • Pearson, K. 1972 Central programming and reflex control of walking in the cockroach. J. Exp. Biol. 56, 173-193.
    • (1972) J. Exp. Biol. , vol.56 , pp. 173-193
  • 29
    • 0014738747 scopus 로고
    • Discharge patterns of coxal levator and depressor motoneurones in the cockroach Periplaneta americana
    • Pearson, K. & Iles, J. 1970 Discharge patterns of coxal levator and depressor motoneurones in the cockroach Periplaneta americana. J. Exp. Biol. 52, 139-165.
    • (1970) J. Exp. Biol. , vol.52 , pp. 139-165
    • Pearson, K.1    Iles, J.2
  • 30
    • 0015010980 scopus 로고
    • Innervation of the coxal depressor muscles in the cockroach Periplaneta americana
    • Pearson, K. & Iles, J. 1971 Innervation of the coxal depressor muscles in the cockroach Periplaneta americana. J. Exp. Biol. 54, 215-232.
    • (1971) J. Exp. Biol. , vol.54 , pp. 215-232
    • Pearson, K.1    Iles, J.2
  • 31
    • 0015839962 scopus 로고
    • Nervous mechanisms underlying intersegmental co-ordination of leg movements during walking in the cockroach
    • Pearson, K. & Iles, J. 1973 Nervous mechanisms underlying intersegmental co-ordination of leg movements during walking in the cockroach. J. Exp. Biol. 58, 725-744.
    • (1973) J. Exp. Biol. , vol.58 , pp. 725-744
    • Pearson, K.1    Iles, J.2
  • 32
    • 56549116861 scopus 로고    scopus 로고
    • Steering by transient destabilization in piecewise-holonomic models of legged locomotion
    • doi:10.1134/S1560354708040047
    • Proctor, J. & Holmes, P. 2008 Steering by transient destabilization in piecewise-holonomic models of legged locomotion. Regul. Chaotic Dyn. 13, 267-282. (doi:10.1134/S1560354708040047)
    • (2008) Regul. Chaotic Dyn. , vol.13 , pp. 267-282
    • Proctor, J.1    Holmes, P.2
  • 33
    • 77952010304 scopus 로고    scopus 로고
    • Reflexes and preflexes: On the role of sensory feedback on rhythmic patterns in insect locomotion
    • doi:10.1007/s00422-010-0383-9
    • Proctor, J. & Holmes, P. 2010 Reflexes and preflexes: on the role of sensory feedback on rhythmic patterns in insect locomotion. Biol. Cybern. 102, 513-531. (doi:10.1007/s00422-010-0383-9)
    • (2010) Biol. Cybern. , vol.102 , pp. 513-531
    • Proctor, J.1    Holmes, P.2
  • 34
    • 0032133379 scopus 로고    scopus 로고
    • Non-holonomic stability aspects of piecewise holonomic systems
    • doi:10.1016/S0034-4877(98)80006-2
    • Ruina, A. 1998 Non-holonomic stability aspects of piecewise holonomic systems. Rep. Math. Phys. 42, 91-100. (doi:10.1016/S0034-4877(98)80006-2)
    • (1998) Rep. Math. Phys. , vol.42 , pp. 91-100
    • Ruina, A.1
  • 35
    • 0034543525 scopus 로고    scopus 로고
    • Mechanical models for insect locomotion: Dynamics and stability in the horizontal plane: I. Theory
    • doi:10.1007/s004220000181
    • Schmitt, J. & Holmes, P. 2000a Mechanical models for insect locomotion: dynamics and stability in the horizontal plane: I. Theory. Biol. Cybern. 83, 501-515. (doi:10.1007/s004220000181)
    • (2000) Biol. Cybern. , Issue.83 , pp. 501-515
    • Schmitt, J.1    Holmes, P.2
  • 36
    • 0034547746 scopus 로고    scopus 로고
    • Mechanical models for insect locomotion: Dynamics and stability in the horizontal plane: II. Application
    • doi:10.1007/s004220000180
    • Schmitt, J. & Holmes, P. 2000b Mechanical models for insect locomotion: dynamics and stability in the horizontal plane: II. Application. Biol. Cybern. 83, 517-527. (doi:10.1007/s004220000180)
    • (2000) Biol. Cybern. , vol.83 , pp. 517-527
    • Schmitt, J.1    Holmes, P.2
  • 37
    • 0036583672 scopus 로고    scopus 로고
    • Dynamics and stability of legged locomotion in the horizontal plane: A test case using insects
    • DOI 10.1007/s00422-001-0300-3
    • Schmitt, J., Garcia, M., Razo, C., Holmes, P. & Full, R. 2002 Dynamics and stability of legged locomotion in the horizontal plane: a test case using insects. Biol. Cybern. 86, 343-353. (doi:10.1007/s00422-001-0300-3) (Pubitemid 135689576)
    • (2002) Biological Cybernetics , vol.86 , Issue.5 , pp. 343-353
    • Schmitt, J.1    Garcia, M.2    Razo, R.C.3    Holmes, P.4    Full, R.J.5
  • 38
    • 16644397023 scopus 로고    scopus 로고
    • Dynamics and stability of insect locomotion: A hexapedal model for horizontal plane motions
    • DOI 10.1007/s00422-004-0498-y
    • Seipel, J., Holmes, P. & Full, R. 2004 Dynamics and stability of insect locomotion: a hexapedal model for horizontal plane motions. Biol. Cybern. 91, 76-90. (doi:10.1007/s00422-004-0498-y) (Pubitemid 40877301)
    • (2004) Biological Cybernetics , vol.91 , Issue.2 , pp. 76-90
    • Seipel, J.E.1    Holmes, P.J.2    Full, R.J.3
  • 39
    • 0024326709 scopus 로고
    • Muscle and tendon: Properties, models, scaling, and application to biomechanics and motor control
    • Zajac, F. 1989 Muscle and tendon: properties, models, scaling, and application to biomechanics and motor control. CRC Crit. Rev. Lett. Biomed. Eng. 17, 359-411.
    • (1989) CRC Crit. Rev. Lett. Biomed. Eng. , vol.17 , pp. 359-411
    • Zajac, F.1
  • 40
    • 0002285851 scopus 로고
    • The exoskeleton and insect proprioception I. Responses of tibial campaniform sensilla to external and muscle-generated force in the American cockroach Periplaneta americana
    • Zill, S. & Moran, D. 1981a The exoskeleton and insect proprioception I. Responses of tibial campaniform sensilla to external and muscle-generated force in the American cockroach Periplaneta americana. J. Exp. Biol. 91, 1-24.
    • (1981) J. Exp. Biol. , vol.91 , pp. 1-24
    • Zill, S.1    Moran, D.2
  • 41
    • 0002285853 scopus 로고
    • The exoskeleton and insect proprioception III. Activity of tibial campaniform sensilla during walking in the American cockroach
    • Zill, S. & Moran, D. 1981b The exoskeleton and insect proprioception III. Activity of tibial campaniform sensilla during walking in the American cockroach, Periplaneta americana. J. Exp. Biol. 94, 57-75.
    • (1981) Periplaneta Americana. J. Exp. Biol. , vol.94 , pp. 57-75
    • Zill, S.1    Moran, D.2
  • 42
    • 0002285850 scopus 로고
    • The exoskeleton and insect proprioception II. Reflex effects of tibial campaniform sensilla in the American cockroach Periplaneta Americana
    • Zill, S., Moran, D. & Varela, F. 1981 The exoskeleton and insect proprioception II. Reflex effects of tibial campaniform sensilla in the American cockroach Periplaneta americana. J. Exp. Biol. 94, 43-55.
    • (1981) J. Exp. Biol. , vol.94 , pp. 43-55
    • Zill, S.1    Moran, D.2    Varela, F.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.